A residual-based a posteriori error estimator is proposed for the Oseen problem that is robust in the convection-dominated regime when using SUPG/PSPG/grad-div stabilization, with robustness proved under hypotheses on errors and supported by numerical studies.
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows.Comput
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A robust a posteriori error estimator for the Oseen problem
A residual-based a posteriori error estimator is proposed for the Oseen problem that is robust in the convection-dominated regime when using SUPG/PSPG/grad-div stabilization, with robustness proved under hypotheses on errors and supported by numerical studies.